Question

1. leisure time the current top score on danielle’s favorite arcade game is 13,468 points. write an inequality expressing all the possible scores danielle could score to not score lower than her top score. graph the inequality.

Explanation:

Step1: Define the variable

Let \( s \) represent Danielle's score.

Step2: Formulate the inequality

We want to express that Danielle's score \( s \) is not lower than the top score of \( 13468 \). "Not lower than" means greater than or equal to. So the inequality is \( s \geq 13468 \).

Step3: Graph the inequality

To graph \( s \geq 13468 \) on a number line:

• Draw a number line.
• Locate the point \( 13468 \) on the number line.
• Since the inequality is "greater than or equal to", we use a closed circle at \( 13468 \) (to indicate that \( 13468 \) is included in the solution set).
• Then, draw an arrow to the right of \( 13468 \) to show that all numbers greater than \( 13468 \) are also part of the solution set.

Answer:

The inequality is \( \boldsymbol{s \geq 13468} \). For the graph, there is a closed circle at \( 13468 \) on the number line with an arrow pointing to the right.